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Question: A train moves from one station to another in 2 hours time. Its speed-time graph during this motion i...

A train moves from one station to another in 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is

A

140 km h–2

B

160 km h–2

C

100 km h–2

D

120 km h–2

Answer

160 km h–2

Explanation

Solution

Maximum acceleration means maximum slope in speed –

time graph.

that slope is for line CD.

So, amaxa_{\max} slope of CD

= 60201.251.00=400.25=160kmh2\frac{60 - 20}{1.25 - 1.00} = \frac{40}{0.25} = 160kmh^{- 2}.